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Record Nr. |
UNINA9910788852103321 |
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Autore |
Ponge Raphael <1972-> |
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Titolo |
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds / / Raphaël S. Ponge |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (150 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 906 |
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Disciplina |
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Soggetti |
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Hypoelliptic operators |
Spectral theory (Mathematics) |
Calculus |
Differentiable manifolds |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages 131-134). |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""1.1. Heisenberg manifolds and their main differential operators""; ""1.2. Intrinsic approach to the Heisenberg calculus""; ""1.3. Holomorphic families of Î?[sub(H)]DO[sub(S)]""; ""1.4. Heat equation and complex powers of hypoelliptic operators""; ""1.5. Spectral asymptotics for hypoelliptic operators""; ""1.6. Weyl asymptotics and CR geometry""; ""1.7. Weyl asymptotics and contact geometry""; ""1.8. Organization of the memoir""; ""Chapter 2. Heisenberg manifolds and their main differential operators""; ""2.1. Heisenberg manifolds"" |
""2.2. Main differential operators on Heisenberg manifolds""""Chapter 3. Intrinsic Approach to the Heisenberg Calculus""; ""3.1. Heisenberg calculus""; ""3.2. Principal symbol and model operators.""; ""3.3. Hypoellipticity and Rockland condition""; ""3.4. Invertibility criteria for sublaplacians""; ""3.5. Invert ibility criteria for the main differential operators""; ""Chapter 4. Holomorphic families of Î?[sub(H)]DO[sub(S)]""; ""4.1. Almost homogeneous approach to the Heisenberg calculus""; ""4.2. Holomorphic families of Î?[sub(H)]DO[sub(S)]"" |
""4.3. Composition of holomorphic families of Î?[sub(H)]DO[sub(S)]""""4.4. Kernel characterization of holomorphic families of Î?]DO[sub(S)]""; |
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